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Simplifying 42 = 16 + -2z Solving 42 = 16 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 42 + 2z = 16 + -2z + 2z Combine like terms: -2z + 2z = 0 42 + 2z = 16 + 0 42 + 2z = 16 Add '-42' to each side of the equation. 42 + -42 + 2z = 16 + -42 Combine like terms: 42 + -42 = 0 0 + 2z = 16 + -42 2z = 16 + -42 Combine like terms: 16 + -42 = -26 2z = -26 Divide each side by '2'. z = -13 Simplifying z = -13
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